Lower bounds for the blow-up time of the nonlinear non-local reaction diffusion problems in RN (N≥3)

被引：0
|
作者：
Gusheng Tang
Yuanfei Li
Xitao Yang
机构：
[1] Hunan University of Science and Technology,Department of Mathematics
[2] Guangdong University of Finance and Economics,Huashang College
来源：
Boundary Value Problems | / 2014卷
关键词：
blow-up; lower bounds; non-local reaction diffusion problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with the blow-up of the solution to a non-local reaction diffusion problem in RN for N≥3 under nonlinear boundary conditions. Utilizing the technique of a differential inequality, lower bounds for the blow-up time are derived when the blow-up does occur under some suitable assumptions.
引用
收藏
相关论文
共 50 条
  • [21] The method of non-local transformations: Applications to blow-up problems
    Polyanin, A. D.
    Shingareva, I. K.
    VI INTERNATIONAL CONFERENCE PROBLEMS OF MATHEMATICAL PHYSICS AND MATHEMATICAL MODELLING, 2017, 937
  • [22] Blow-up for a non-local diffusion problem with Neumann boundary conditions and a reaction term
    Perez-Llanos, Mayte
    Rossi, Julio D.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (04) : 1629 - 1640
  • [23] Lower bounds for blow-up time in a class of nonlinear wave equations
    Philippin, G. A.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (01): : 129 - 134
  • [24] Lower bounds for blow-up time of a nonlinear viscoelastic wave equation
    Yang Lu
    Liang Fei
    Guo Zhenhua
    Boundary Value Problems, 2015
  • [25] Lower bounds for blow-up time of two nonlinear wave equations
    Zhou, Jun
    APPLIED MATHEMATICS LETTERS, 2015, 45 : 64 - 68
  • [26] Lower bounds for blow-up time in a class of nonlinear wave equations
    G. A. Philippin
    Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 129 - 134
  • [27] Lower bounds for blow-up time of a nonlinear viscoelastic wave equation
    Yang Lu
    Liang Fei
    Guo Zhenhua
    BOUNDARY VALUE PROBLEMS, 2015, : 1 - 6
  • [28] Lower bounds of the blow-up time for reactions
    Vlamos, Panayiotis
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2008, 11 (01) : 67 - 75
  • [29] BLOW-UP FOR A NON-LOCAL DIFFUSION EQUATION WITH EXPONENTIAL REACTION TERM AND NEUMANN BOUNDARY CONDITION
    Zhou, Shouming
    Mu, Chunlai
    Mi, Yongsheng
    Zhang, Fuchen
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (06) : 2935 - 2946
  • [30] On the blow-up of the non-local thermistor problem
    Kavallaris, N. I.
    Nadzieja, T.
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2007, 50 : 389 - 409
12345